Question

For what value of 'y' the following statement is true? (129 x 50) + (129 x 17) = y x (50 + 17) *

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Answer 1

Answer:

True

Step-by-step explanation:

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Answer 2

Given :

• $\sf\:(129 \times 50) + (129 \times 17)= y \times (50+17)$

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To find :

• The value of y

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Solution :

$\sf\:(129 \times 50) + (129 \times 17)= y \times (50+17)$

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Proceeding with simple calculations inside the brackets

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$\sf\implies\:6450+ (129 \times 17)= y \times (50+17)$

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$\sf\implies\:6450+2193= y \times (50+17)$

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$\sf\implies\:6450+2193= y \times 67$

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$\sf\implies\:6450+2193= 67y$

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‎Doing operations such as addition , multiplication

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$\sf\implies\:8643= 67y$

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$\sf\:oR\: 67y=8643$

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Transposing 67 in RHS it goes to the denominator

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$\sf\implies\: y=\frac{8643}{67}$

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Reducing the fraction to lower terms

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$\sf\implies\: y=\cancel{\frac{8643}{67}}$

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$\small{\underline{\boxed{\mathrm{\implies\:y\:=129}}}}$ $\bf\color{pink}{⋆}$

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Verification :

Plugging the value of y as 129

$\sf\:(129 \times 50) + (129 \times 17)= y \times (50+17)$

$\sf\twoheadrightarrow\:6450 +2193= 129 \times (50+17)$

$\sf\twoheadrightarrow\:8643= 129 \times 67$

$\sf\twoheadrightarrow\:8643= 8643$

$\bf\twoheadrightarrow\:LHS= RHS$

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Hence Verified !~

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So when $\small\fbox\purple{y~=~129}$‎ the given equation holds true.

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